Question 12 Convert the constraints into linear equations by using slack variables. Maximize z = X1...
please Question 1 Convert the constraints into linear equations by using slack variables. Maximize z = 2X1 +8X2 Subject to:X1 + 6x2 s 15 2x1 + 9x2 s 25 X120,X220 X1 + 6x2 +51 s 15 2X1 + 9x2525 25 x1 +6X2+S1 = 15 2X1 +9x2 +52 = 25 O X1 +6X2 + 512 15 2X1 + 9x2 +522 25 X1 +6x2 = S1 +15 2x1 + 9x2 = S2 + 25 Question 2 Introduce slack variables as necessary and...
Question 9 Find the value(s) of the function on the given feasible region. Find the maximum and minimum of z = 8x + 8y. K0,5) (5/2,5) (0,4) (6,0) (10,0) 56,32 80,32 -32,-56 48,40 Question 11 Write the expression as a sum and/or a difference of logarithms with all variables to the first degree. In V10192 In 10+ 3 Int+2 in v 01/ in In 90t + 2 in v Jin In 10+ 3 Int + In v In 10 +...
Introduce slack variables as necessary and then write the initial simplex tableau for the Maximize z = xy + 9x2 given linear programming problem. subject to X1 + 2x2 = 12 8x1 + x2 = 11 5x7 + 2x2 57 with Xq 20, X220 Complete the initial simplex tableau. X1 S1 S2 z X2 2 S3 0 1 1 ol 00 0 0 0 11 O 2 0 7 0 0 0 1 0
Introduce slack variables as necessary and write the initial simplex tableau for the problem. Maximize z = 4X1 + X2 subject to: 2X2 + 5x2 10 3X1 + 3x2 33 X120,X220 H N 47 X1 X2 S1 S2 1 0 0 1 0 10] بي بي حظ الا لما هب OO 3 1 X1 2 3 -4 X2 S1 S2 Z 5 1 0 10 3 0 1 -1 0 0 OON 1 X1 2 X2 S1 5 0 3...
Introduce slack variables as necessary and then write the initial simplex tableau for the given linear programming problem. Complete the initial simplex tableau. 1 1 X, X2 X3 s, 3 8 5 0 2 2 0 0 ONN S2 S3 0 0 0 0 0 0 NOOO 1 12 9 9 1 0 Z= X1 +8X2 +3X3 Maximize subject to X1 8X4 +2x2 +X2 +3x3 12 + 5x3 39 + 2x3 = 9 20, X3 20. 2x X1 20, X2
Question 1,2,3,4 11) Maximize z» x 1 + 2x2 subject to: x1+ x2 s20 3x1+ 2x2 40 2x13x2 60 x1z0 x20 Use th perfor x1 A) Find the pivot in the tableau. 1 x2 x3 x4 x5 2 3 1 4 02 0 9 6 0 2 1 5 0 3 B) Find the plvot in the tableau. C) 1 2 3 10 0 ol 4 1 4 4 0 1 0 0 12 1 2 2 oo1 06 1...
4.6-1.* Consider the following problem. Maximize Z= 2x1 + 3x2, subject to x1 + 2x2 54 x1 + x2 = 3 and X120, X2 0. DI (a) Solve this problem graphically. (b) Using the Big M method, construct the complete first simplex tableau for the simplex method and identify the corresponding initial (artificial) BF solution. Also identify the initial entering basic variable and the leaving basic variable. I (c) Continue from part (b) to work through the simplex method step...
Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 + 3x3 subject to: X1 + 3x2 + 2x3 S 30 best to X1 + x2 + x3 S 24 3x1 + 5x2 + 3x3 5 60 and X120, X220, X3 2 0. You are given the information that x > 0, X2 = 0, and x3 >O in the optimal solution. Using the given information and the theory of the simplex method, analyze the...
Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2, X320 (a) Convert the above constraints to equalities. (2 marks) (b) Set up the initial simplex tableau and solve. (9 marks) Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2, X320 (a) Convert the above constraints to equalities. (2 marks) (b) Set up the initial simplex tableau and solve. (9 marks)
Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 - X2 + 2x3 = 7 5x1 + x2 + x3 = 11 A) No B) Yes Determine whether the matrix is in echelon form, reduced echelon form, or neither. [ 1 2 5 -7] 2) 0 1 -4 9 100 1 2 A) Reduced echelon form B) Echelon form C) Neither [1 0 -3 -51 300 1-3 4 0 0 0 0 LOO 0...